What is the volume of a rectangular block that is 5 feet long, 2.5 feet wide, and 3.5 feet tall?

What is the volume of a rectangular block that is 5 feet long, 2.5 feet wide, and 3.5 feet tall?

• A. 20.00 ft^3
• B. 43.75 ft^3
• C. 35.00 ft^3
• D. 54.60 ft^3

Answer: (B)

Volume is found by multiplying the three dimensions of a rectangular block: length × width × height. This measures how much space is inside the block. Multiply 5 feet by 2.5 feet to get the base area: 5 × 2.5 = 12.5 square feet. Then multiply by the height: 12.5 × 3.5 = 43.75 cubic feet. So the volume is 43.75 ft^3. If a dimension were different, like using 2.0 feet for the width, you’d get 35 ft^3, which shows why the given measurements uniquely determine the volume.

Volume is found by multiplying the three dimensions of a rectangular block: length × width × height. This measures how much space is inside the block. Multiply 5 feet by 2.5 feet to get the base area: 5 × 2.5 = 12.5 square feet. Then multiply by the height: 12.5 × 3.5 = 43.75 cubic feet. So the volume is 43.75 ft^3. If a dimension were different, like using 2.0 feet for the width, you’d get 35 ft^3, which shows why the given measurements uniquely determine the volume.